Question

Find the Area ( PLEASE LEAVE EXPLANATION)

Answer 1

28 ft²

Explanation:

Hello There!

To solve for the area of an irregular shape we want to split the irregular shape into regular shapes

For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)

now we can easily solve for the area of each individual shape

area of square -

the area of a square can simply be found by raising the side length to the power of 2

so

`a =2^2\\2^2=4\\a=4ft^2`

so we can conclude that the area of the square is 4ft^2

Now we want to find the area of the rectangle

the area of a rectangle is simply equal to the width times the length

so

`a=6*4\\6*4=24\\\\a=24ft^2`

so we can conclude that the area of the rectangle is 24ft^2

Finally we add the two areas together

24 + 4 = 28

thus meaning the area of the irregular figure is 28 ft²